Technical Papers
Mar 17, 2021

Bearing Capacity of Ring Foundations over Rock Media

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 6

Abstract

Using the generalized Hoek and Brown yield criterion, the stress characteristics method (SCM) was used to evaluate in a very accurate manner the bearing capacity of smooth and rough ring foundations placed over rock media. Failure mechanisms, involving a combination of outward and inward shear zones, with consideration of the stress singularities at the outer and inner edges of the ring, were generated. The complete computational procedure is elaborated, and the computer code, written in MATLAB version 2018a, is available free upon request. To compare the results obtained, the solution is also provided making use of finite-element limit analysis (FELA) using OPTUM-G2 version 2018.07.28. The bearing capacity obtained using the SCM compares very well with the solution on the basis of the FELA, which confirms the rigor of the analysis performed. The failure patterns obtained from the SCM and the FELA were found to be almost identical.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

The data and the computer MATLAB code that support the findings from this study are available from the corresponding author upon request.

References

Benmebarek, S., M. S. Remadna, N. Benmebarek, and L. Belounar. 2012. “Numerical evaluation of the bearing capacity factor Nγ′ of ring footings.” Comput. Geotech. 44 (Jun): 132–138. https://doi.org/10.1016/j.compgeo.2012.04.004.
Booker, J. R., and E. H. Davis. 1972. “A general treatment of plastic anisotropy under conditions of plane strain.” J. Mech. Phys. Solids 20 (4): 239–250. https://doi.org/10.1016/0022-5096(72)90003-8.
Boushehrian, J. H., and N. Hataf. 2003. “Experimental and numerical investigation of the bearing capacity of model circular and ring footings on reinforced sand.” Geotext. Geomembr. 21 (4): 241–256. https://doi.org/10.1016/S0266-1144(03)00029-3.
Bozozuk, M. 1972. “Foundation failure of the VanKleek Hill Tower Silo.” In Performance of earth and earth-supported structures, 885–902. Reston, VA: ASCE.
Chakraborty, M., and J. Kumar. 2015. “Bearing capacity of circular footings over rock mass by using axisymmetric quasi lower bound finite element limit analysis.” Comput. Geotech. 70 (Oct): 138–149. https://doi.org/10.1016/j.compgeo.2015.07.015.
Chmielewski, T., M. Simon, and P. Osterrieder. 2014. “Assessment of existing natural draught cooling towers.” In Vol. 3 of Shell structures: Theory and applications, edited by W. Pietraszkiewicz and J. Górski, 495–499. London: Taylor & Francis Group.
Clausen, J. 2013. “Bearing capacity of circular footings on a Hoek–Brown material.” Int. J. Rock Mech. Min. Sci. 57: 34–41. https://doi.org/10.1016/j.ijrmms.2012.08.004.
Hoek, E., C. Carranza-Torres, and C. Brent. 2002. “Hoek-Brown failure criterion-2002 edition.” In Vol. 1 of Proc., 5th North American Rock Mechanics Symp. 17th Tunnelling Association of Canada Conf.: NARMS-TAC 2002, 267–273. Toronto: Univ. of Toronto.
Hoek, E., and P. Marinos. 2000. “Predicting tunnel squeezing.” Tunnels Tunnelling Int. 32 (11): 45–51.
Hoek, E., D. Wood, and S. Shah. 1992. “A modified Hoek–Brown failure criterion for jointed rock masses.” In Proc., Rock Characterization: ISRM Symp., Eurock ’92. Chester, UK: ICE Publishing. https://doi.org/10.1680/rc.35621.
Hotala, E., and R. Ignatowicz. 2019. “Effect of settlement of foundations on the failure risk of the bottom of cylindrical steel vertical tanks for liquids.” Stud. Geotech. Mech. 41 (3): 171–176. https://doi.org/10.2478/sgem-2019-0017.
Jahanandish, M., and A. Keshavarz. 2005. “Seismic bearing capacity of foundations on reinforced soil slopes.” Geotext. Geomembr. 23 (1): 1–25. https://doi.org/10.1016/j.geotexmem.2004.09.001.
Kamiński, M., and M. Maszczak. 2014. “Damage to a shell of a cooling tower caused by defective repairs.” In Vol. 3 of Shell structures: Theory and applications, edited by W. Pietraszkiewicz and J. Górski, 519–522. London: Taylor & Francis Group.
Keshavarz, A., and J. Kumar. 2017. “Bearing capacity computation for a ring foundation using the stress characteristics method.” Comput. Geotech. 89 (Sep): 33–42. https://doi.org/10.1016/j.compgeo.2017.04.006.
Keshavarz, A., and J. Kumar. 2018. “Bearing capacity of foundations on rock mass using the method of characteristics.” Int. J. Numer. Anal. Methods Geomech. 42 (3): 542–557. https://doi.org/10.1002/nag.2754.
Krabbenhoft, K., A. Lyamin, and J. Krabbenhoft. 2015. “Optum computational engineering (OptumG2).” Accessed December 17, 2019. https://optumce.com.
Kumar, J., and M. Chakraborty. 2015. “Bearing capacity factors for ring foundations.” J. Geotech. Geoenviron. Eng. 141 (10): 06015007. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001345.
Kumar, J., and P. Ghosh. 2005. “Bearing capacity factor Nγ for ring footings using the method of characteristics.” Can. Geotech. J. 42 (5): 1474–1484. https://doi.org/10.1139/t05-051.
Kumar, J., and D. Mohapatra. 2017. “Lower-bound finite elements limit analysis for Hoek-Brown materials using semidefinite programming.” J. Eng. Mech. 143 (9): 04017077. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001296.
Kumar, J., and D. Mohapatra. 2018. “Closure to ‘Lower-bound finite elements limit analysis for Hoek-Brown materials using semidefinite programming’ by Jyant Kumar and Debasis Mohapatra.” J. Eng. Mech. 144 (7): 07018002. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001486.
Larkin, L. A. 1968. “Theoretical bearing capacity of very shallow footings.” J. Soil Mech. Found. Div. 94 (6): 1347–1357. https://doi.org/10.1061/JSFEAQ.0001200.
Lee, J. K., S. Jeong, and S. Lee. 2016. “Undrained bearing capacity factors for ring footings in heterogeneous soil.” Comput. Geotech. 75 (May): 103–111. https://doi.org/10.1016/j.compgeo.2016.01.021.
Lundgren, H., and K. Mortensen. 1953. “Determination by the theory of plasticity of the bearing capacity of continuous footings on sand.” In Vol. 1 of Proc., 3th Int. Conf. Soil Mechanics Foundation, 409–412. London: International Society for Soil Mechanics and Geotechnical Engineering.
Merifield, R. S., A. V. Lyamin, and S. W. Sloan. 2006. “Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek–Brown criterion.” Int. J. Rock Mech. Min. Sci. 43 (6): 920–937. https://doi.org/10.1016/j.ijrmms.2006.02.001.
Serrano, A., and C. Olalla. 1994. “Ultimate bearing capacity of rock masses.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 31 (2): 93–106. https://doi.org/10.1016/0148-9062(94)92799-5.
Serrano, A., C. Olalla, and J. González. 2000. “Ultimate bearing capacity of rock masses based on the modified Hoek–Brown criterion.” Int. J. Rock Mech. Min. Sci. 37 (6): 1013–1018. https://doi.org/10.1016/S1365-1609(00)00028-9.
Sokolovski, V. V. 1960. Statics of soil media. London: Butterworths Publications.
Tang, C., and K. K. Phoon. 2018. “Prediction of bearing capacity of ring foundation on dense sand with regard to stress level effect.” Int. J. Geomech. 18 (11): 04018154. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001312.
Turnbull, J. E., H. A. Jackson, and D. Lowe. 1979. “Reinforced extended ring foundations for top-unloading concrete tower silos.” Can. Agric. Eng. 21 (2): 111–116.
Vali, R., M. Beygi, M. Saberian, and J. Li. 2019. “Bearing capacity of ring foundation due to various loading positions by finite element limit analysis.” Comput. Geotech. 110 (Jun): 94–113. https://doi.org/10.1016/j.compgeo.2019.02.020.
Yang, X., J.-H. Yin, and L. Li. 2003. “Influence of a nonlinear failure criterion on the bearing capacity of a strip footing resting on rock mass using a lower bound approach.” Can. Geotech. J. 40 (3): 702–707. https://doi.org/10.1139/t03-010.
Zhao, L., and J. H. Wang. 2008. “Vertical bearing capacity for ring footings.” Comput. Geotech. 35 (2): 292–304. https://doi.org/10.1016/j.compgeo.2007.05.005.
Zhou, X.-P., H.-Q. Yang, Y.-X. Zhang, and M.-H. Yu. 2009. “The effect of the intermediate principal stress on the ultimate bearing capacity of a foundation on rock masses.” Comput. Geotech. 36 (5): 861–870. https://doi.org/10.1016/j.compgeo.2009.01.009.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 6June 2021

History

Received: Dec 27, 2019
Accepted: Jan 14, 2021
Published online: Mar 17, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 17, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Amin Keshavarz [email protected]
Associate Professor, School of Engineering, Persian Gulf Univ., Bushehr 7516913817, Iran. Email: [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Science, Bengaluru, Karnakataka 560012, India (corresponding author). ORCID: https://orcid.org/0000-0002-7808-8984. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share